Solve by Factoring 7x^2+14x=0

$7 x^{2} + 14 x = 0$

Factor $7 x$ out of $7 x^{2} + 14 x$ .

Factor $7 x$ out of $7 x^{2}$ .

$7 x (x) + 14 x = 0$

Factor $7 x$ out of $14 x$ .

$7 x (x) + 7 x (2) = 0$

Factor $7 x$ out of $7 x (x) + 7 x (2)$ .

$7 x (x + 2) = 0$

If any individual factor on the left side of the equation is equal to $0$ , the entire expression will be equal to $0$ .

$x = 0$

$x + 2 = 0$

Set $x$ equal to $0$ .

$x = 0$

Set $x + 2$ equal to $0$ and solve for $x$ .

Set $x + 2$ equal to $0$ .

$x + 2 = 0$

Subtract $2$ from both sides of the equation.

$x = - 2$

The final solution is all the values that make $7 x (x + 2) = 0$ true.

$x = 0, - 2$